SOLUTION: Suppose that a pool of 20 movies consist of 5 dramas, 7 comedies, and 8 action movies. In how many ways can a collection of 7 movies be chosen if the collection must consist of 1 d

Question 575186: Suppose that a pool of 20 movies consist of 5 dramas, 7 comedies, and 8 action movies. In how many ways can a collection of 7 movies be chosen if the collection must consist of 1 drama, 4 comedies, and 2 action movies.
Answer by chana(69) (Show Source): You can put this solution on YOUR website!
Suppose that a pool of 20 movies consist of 5 dramas, 7 comedies, and 8 action movies. In how many ways can a collection of 7 movies be chosen if the collection must consist of 1 drama, 4 comedies, and 2 action movies.
sol:
(1 out of 5) * (4 out of 7) * (2 out of 8) are to be chosen
required no of ways = 5c1 * 7c4 * 8c2
= 5 * ((7*6*5*4)/(4*3*2*1)) * ((8*7/2*1))
=4800
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